Formulae for Constant Angular Acceleration

In analogy with linear motion, when the angular acceleration, $\alpha$ , is constant, we have:

$$\omega \omega_{0}^{} \alpha$$ = (8)

$$\theta \theta_{0}^{} \omega_{0}^{} {1\over 2} \alpha$$ = (9)

$$\omega^{2}_{} \alpha \theta \theta_{0}^{}$$ = (10)

In the above equations, $\theta_{0}^{}$ and $\omega_{0}^{}$ are the angular position and angular velocity of the rigid body at t = 0 . These can be compared to the analogous formulae for linear motion, namely Eqs.(2.5)-(2.7).